Question: Determine which of the functions defined in Problem are one-to-one, and which then have an inverse. Determine each inverse when it exists.
Problem: Which of the following rules define functions?
(a) The rule that assigns to each person in a classroom his or her height.
(b) The rule that assigns to each mother her youngest child alive today.
(c) The rule that assigns the perimeter of a rectangle to its area.
(d) The rule that assigns the surface area of a spherical ball to its volume.
(e) The rule that assigns the pair of numbers (x + 3,y) to the pair of numbers (x, y).